Determine the Exact Value Of $\csc \theta$ When $\cot \theta = \frac { 20 } { 21 }$

question 50

Multiple Choice

Determine the exact value of $\csc \theta$ when $\cot \theta = \frac { 20 } { 21 }$ and $\csc \theta$ < 0.

• A) \(\csc \theta = - \frac { 11 } { 14 }\)
• B) \(\csc \theta = - \frac { 3 } { 2 }\)
• C) \(\csc \theta = - \frac { 58 } { 21 }\)
• D) \(\csc \theta = - \frac { 8 } { 21 }\)
• E) \(\csc \theta = - \frac { 29 } { 21 }\)

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Definitions:

Binomial Random Variable

A type of random variable that takes on a fixed number of possible outcomes, with each outcome having a constant probability of occurrence in each independent trial.

Normal Curve

A symmetric, bell-shaped curve representing the distribution of a set of data where most occurrences take place near the mean and probabilities for values taper off equally on both sides.

Continuity Correction

An adjustment made when approximating a discrete distribution with a continuous distribution.

Normal Approximation

A method of estimating the distribution of a sample statistic using the normal distribution, often applied when the sample size is large.